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Time-dependent kinetic models are ubiquitous in computational science and engineering. The underlying integro-differential equations in these models are high-dimensional, comprised of a six--dimensional phase space, making simulations of…

Numerical Analysis · Mathematics 2025-06-23 Lukas Einkemmer , Katharina Kormann , Jonas Kusch , Ryan G. McClarren , Jing-Mei Qiu

Current data analysis for the Canadian Olympic fencing team is primarily done manually by coaches and analysts. Due to the highly repetitive, yet dynamic and subtle movements in fencing, manual data analysis can be inefficient and…

Computer Vision and Pattern Recognition · Computer Science 2022-04-21 Kevin Zhu , Alexander Wong , John McPhee

Many modern datasets, from areas such as neuroimaging and geostatistics, come in the form of a random sample of tensor-valued data which can be understood as noisy observations of a smooth multidimensional random function. Most of the…

Methodology · Statistics 2023-09-18 William Consagra , Arun Venkataraman , Xing Qiu

The abundance of functional observations in scientific endeavors has led to a significant development in tools for functional data analysis (FDA). This kind of data comes with several challenges: infinite-dimensionality of function spaces,…

Methodology · Statistics 2015-12-11 J. S. Marron , James O. Ramsay , Laura M. Sangalli , Anuj Srivastava

Although operator-valued kernels have recently received increasing interest in various machine learning and functional data analysis problems such as multi-task learning or functional regression, little attention has been paid to the…

Machine Learning · Computer Science 2013-01-15 Hachem Kadri , Asma Rabaoui , Philippe Preux , Emmanuel Duflos , Alain Rakotomamonjy

In this paper, we consider a class of Forward--Backward (FB) splitting methods that includes several variants (e.g. inertial schemes, FISTA) for minimizing the sum of two proper convex and lower semi-continuous functions, one of which has a…

Optimization and Control · Mathematics 2018-01-04 Jingwei Liang , Jalal Fadili , Gabriel Peyré

Classical discriminant analysis assumes identically distributed training data, yet in many applications observations are collected over time and the class-conditional distributions drift. This population drift renders stationary classifiers…

Machine Learning · Computer Science 2025-08-25 Shuilian Xie , Mahdi Imani , Edward R. Dougherty , Ulisses M. Braga-Neto

One of the challenges with functional data is incorporating spatial structure, or local correlation, into the analysis. This structure is inherent in the output from an increasing number of biomedical technologies, and a functional linear…

Applications · Statistics 2011-11-07 Timothy W. Randolph , Jaroslaw Harezlak , Ziding Feng

One major problem in maintaining a software system is to understand how many functional features in the system and how these features are implemented. In this paper a novel approach for locating features in code by semantic and dynamic…

Software Engineering · Computer Science 2015-12-15 Ren Wu

Deep neural networks (DNNs) have recently received vast attention in applications requiring classification of radar returns, including radar-based human activity recognition for security, smart homes, assisted living, and biomedicine.…

Signal Processing · Electrical Eng. & Systems 2020-01-24 Baris Erol , Sevgi Zubeyde Gurbuz , Moeness G. Amin

Deep Brain Stimulation (DBS) has gained increasing attention as an effective method to mitigate Parkinsons disease (PD) disorders. Existing DBS systems are open-loop such that the system parameters are not adjusted automatically based on…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Hosein M. Golshan , Adam O. Hebb , Sara J. Hanrahan , Joshua Nedrud , Mohammad H. Mahoor

Dynamic balance in human locomotion can be assessed through the local dynamic stability (LDS) method. Whereas gait LDS has been used successfully in many settings and applications, little is known about its sensitivity to individual…

Quantitative Methods · Quantitative Biology 2018-12-27 Fabienne Reynard , Philippe Terrier

Human gait can be a predictive factor for detecting pathologies that affect human locomotion according to studies. In addition, it is known that a high investment is demanded in order to raise a traditional clinical infrastructure able to…

Signal Processing · Electrical Eng. & Systems 2021-10-13 T. R. D. Sa , C. M. S. Figueiredo

Wearable devices permit the continuous monitoring of biological processes, such as blood glucose metabolism, and behavior, such as sleep quality and physical activity. The continuous monitoring often occurs in epochs of 60 seconds over…

Methodology · Statistics 2024-04-23 Yuanyuan Luan , Roger S. Zoh , Erjia Cui , Xue Lan , Sneha Jadhav , Carmen D. Tekwe

We propose a novel method to model nonlinear regression problems by adapting the principle of penalization to Partial Least Squares (PLS). Starting with a generalized additive model, we expand the additive component of each variable in…

Statistics Theory · Mathematics 2010-08-13 Nicole Kraemer , Anne-Laure Boulesteix , Gerhard Tutz

Functional data analysis is a fast evolving branch of modern statistics and the functional linear model has become popular in recent years. However, most estimation methods for this model rely on generalized least squares procedures and…

Methodology · Statistics 2020-06-24 Ioannis Kalogridis , Stefan Van Aelst

Estimation and inference with modern longitudinal data from wearable devices, which consist of biological signals at high-frequency time points, is burdened by massive computational costs. We propose a distributed estimation and inference…

Methodology · Statistics 2023-09-13 Cole Manschot , Emily C. Hector

We show that for unconstrained Deep Linear Discriminant Analysis (LDA) classifiers, maximum-likelihood training admits pathological solutions in which class means drift together, covariances collapse, and the learned representation becomes…

Machine Learning · Statistics 2026-01-06 Maxat Tezekbayev , Rustem Takhanov , Arman Bolatov , Zhenisbek Assylbekov

We propose a model-based clustering algorithm for a general class of functional data for which the components could be curves or images. The random functional data realizations could be measured with error at discrete, and possibly random,…

Machine Learning · Statistics 2022-03-14 Steven Golovkine , Nicolas Klutchnikoff , Valentin Patilea

Activity recognition computer vision algorithms can be used to detect the presence of autism-related behaviors, including what are termed "restricted and repetitive behaviors", or stimming, by diagnostic instruments. The limited data that…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Peter Washington , Aaron Kline , Onur Cezmi Mutlu , Emilie Leblanc , Cathy Hou , Nate Stockham , Kelley Paskov , Brianna Chrisman , Dennis P. Wall
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